Results 41 to 50 of about 677,232 (187)

Extensions to Extended Tight-Binding Methods for Transition-Metal Containing Systems. [PDF]

open access: yesJ Comput Chem
We present a new GFN2‐xTB implementation with a geometric direct minimization scheme and a Hubbard‐U correction. We demonstrate that the Hubbard correction improves linearity of the elctronic energy, stabilizes SCF convergence, and enables more accurate spin‐gap predictions in narrow application domains such as specific iron‐containing complexes ...
Moradi S   +3 more
europepmc   +2 more sources

Expanding the applicability of the Gauss-Newton method for a certain class of systems of equations

open access: yesJournal of Numerical Analysis and Approximation Theory, 2016
We present a new semilocal convergence analysis of the Gauss-Newton method in order to solve a certain class of systems of equations under a majorant condition.
Ioannis K. Argyros, Santhosh George
doaj   +2 more sources

SEMI-LOCAL CONVERGENCE OF A DERIVATIVE-FREEMETHOD FOR SOLVING EQUATIONS

open access: yesПроблемы анализа, 2021
We present the semi-local convergence analysis of atwo-step derivative-free method for solving Banach space valuedequations. The convergence criteria are based only on the firstderivative and our idea of recurrent functions.
Gus Argyros   +3 more
doaj   +1 more source

Convergence Behavior for Newton-Steffensen’s Method under -Condition of Second Derivative

open access: yesAbstract and Applied Analysis, 2013
The present paper is concerned with the semilocal as well as the local convergence problems of Newton-Steffensen’s method to solve nonlinear operator equations in Banach spaces.
Yonghui Ling, Xiubin Xu, Shaohua Yu
doaj   +1 more source

Why Physics Still Matters: Improving Machine Learning Prediction of Material Properties With Phonon‐Informed Datasets

open access: yesAdvanced Intelligent Discovery, EarlyView.
Phonons‐informed machine‐learning predictive models are propitious for reproducing thermal effects in computational materials science studies. Machine learning (ML) methods have become powerful tools for predicting material properties with near first‐principles accuracy and vastly reduced computational cost.
Pol Benítez   +4 more
wiley   +1 more source

Auxiliary point on the semilocal convergence of Newton's method [PDF]

open access: yes, 2017
We use an auxiliary point in the analysis of the semilocal convergence of Newton’smethod under center conditions on high order derivatives of the operator involved anduse the majorant principle of Kantorovich to do ...
M. A. Hernández-Verón [0000-0001-5478-2958]   +1 more
core  

On the Q-Convergence and Dynamics of a Modified Weierstrass Method for the Simultaneous Extraction of Polynomial Zeros

open access: yesAlgorithms
In the present paper, we prove a new local convergence theorem with initial conditions and error estimates that ensure the Q-quadratic convergence of a modification of the famous Weierstrass method.
Plamena I. Marcheva   +2 more
doaj   +1 more source

Two-point method for solving nonlinear equation with nondifferentiable operator (in Ukrainian) [PDF]

open access: yesМатематичні Студії, 2011
In the paper we study a combined differential-difference method for solving nonlinear equations with non-differentiable operator. The semilocal convergence of the method is investigated and the order of convergence is established.
S. M. Shakhno, H. P. Yarmola
doaj  

Interpretable Machine Learning for Bandgap Prediction and Descriptor‐Guided Design Rules of Phosphates

open access: yesAdvanced Intelligent Discovery, EarlyView.
An explainable CatBoost model was trained to predict the bandgaps of 474 phosphate crystals based on composition and density descriptors. SHAP analysis identified two key variables—d‐electron‐count dispersion and atomic‐density dispersion—as the primary drivers of the model's predictions.
Wenhu Wang   +3 more
wiley   +1 more source

Artificial Intelligence for Advanced Functional Materials: Progress and Emerging Frontiers

open access: yesAdvanced Intelligent Systems, EarlyView.
Artificial intelligence is transforming the discovery of functional materials by linking synthesis, characterization, simulation, and design in unified workflows. Advances in machine learning, autonomous experimentation, and foundation models are accelerating innovation across energy, electronics, and biomedicine, while revealing new frontiers for ...
Cristiano Malica   +38 more
wiley   +1 more source

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